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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 288–296 (Mi zvmmf184)  
This article is cited in 5 scientific papers (total in 5 papers)

Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body

V. V. Dyakina, S. V. Marvin

a Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 18, Yekaterinburg, 620219, Russia
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Abstract: The initial-boundary value problem of determining the electromagnetic field in an inhomogeneous conducting sample and the surrounding external medium is solved under certain assumptions on the sample, the external medium, and the external current density. The existence of a classical solution to this problem is proved. The electromagnetic field under small variations in the sample's electric conductivity is computed by applying perturbation theory.
Key words: initial-boundary value problem, electrodynamics, integrodifferential equations.
Received: 28.05.2007
Revised: 30.08.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 275–283
DOI: https://doi.org/10.1007/s11470-008-2010-6
Bibliographic databases:
Document Type: Article
UDC: 519.642.2
Language: Russian
Citation: V. V. Dyakin, S. V. Marvin, “Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 288–296; Comput. Math. Math. Phys., 48:2 (2008), 275–283
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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